Symmetric Unitary One Matrix Models, String equation, mKdV flows, Virasoro constraints
We review the Symmetric Unitary One Matrix Models. In particular we discuss the string equation in the operator formalism, the mKdV flows and the Virasoro Constraints. We focus on the -function formalism for the flows and we describe its connection to the (big cell of the) Sato Grassmannian Gr (0) via the Plucker embedding of Gr (0) into a fermionic Fock space. Then the space of solutions to the string equation is an explicitly computable subspace of Gr (0) \Theta Gr (0) which is invariant under the flows.
Anagnostopoulos, Konstantinos N. and Bowick, Mark, "Unitary One Matrix Models: String Equation and Flows" (1992). Physics. 55.
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